Unless the weather is extremely bad (low visibility, etc) in which case a CAT III autoland is performed (providing the runway has the instrumentation for it), the last 1-3 mins of the approach are usually done by hand after the plane's navigation has guided it to the runway. It is very much normal and not damaging for the plane to "bounce", however depending on the landing an additional inspection may be required which examines the landing gear assembly/wheels/brakes. The main gear (middle of the plane) can take a lot of force however the nosegear is much more "fragile". That is why a plane cannot land at 0 degrees of pitch. Instead the plane "flares" so that the main gear touch down first and then the nose is slowly lowered.